In a large, heavy pot, heat the oil, 1 turn of the pan, over medium-high heat. Add the sausage and cook until browned, about 2 minutes. Add the pork and cook, crumbling, until browned, 2 minutes more. Add the celery, bell pepper, onion, garlic and bay leaf; season with salt and pepper. Cook, stirring occasionally, until the vegetables are softened, about 5 minutes. Stir in the chicken stock, tomatoes, black-eyed peas, hot sauce, thyme, chili powder, paprika and coriander. Bring to a low boil, lower the heat and cook for 10 minutes more.
Top the chili with the scallions. Serve with the corn muffins alongside or crumbled over the chili.